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In which case a body will have maximum w...

In which case a body will have maximum weight? Water or in vacuum.

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To determine in which case a body will have maximum weight, whether in water or in a vacuum, we can analyze the forces acting on the body in both scenarios. ### Step-by-Step Solution: 1. **Understanding Weight in Vacuum**: - When a body is in a vacuum, there are no opposing forces acting on it. The only force acting on the body is its weight due to gravity. - The weight of the body (W) can be calculated using the formula: \[ W = mg \] where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity. 2. **Understanding Weight in Water**: - When the same body is submerged in water, it experiences a buoyant force (F_b) due to the water. - The buoyant force can be calculated using Archimedes' principle: \[ F_b = \rho_w \cdot V \cdot g \] where \( \rho_w \) is the density of water, \( V \) is the volume of the body (which is equal to the volume of water displaced), and \( g \) is the acceleration due to gravity. - The apparent weight (W') of the body when submerged in water is given by: \[ W' = W - F_b = mg - F_b \] Substituting for the buoyant force: \[ W' = mg - \rho_w \cdot V \cdot g \] 3. **Comparing Weights**: - In vacuum, the weight is simply \( W = mg \). - In water, the apparent weight is: \[ W' = mg - \rho_w \cdot V \cdot g \] - Since the buoyant force reduces the weight of the body when submerged in water, we can conclude: \[ W' < W \] 4. **Conclusion**: - Therefore, the body will have maximum weight in a vacuum because there are no opposing forces acting on it, while in water, the buoyant force reduces its apparent weight. ### Final Answer: The body will have maximum weight in **VACUUM**.
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Knowledge Check

  • In which case EAN of Cr is maximum ?

    A
    `[Cr(CN)_(6)]^(3-)`
    B
    `[Cr(H_(2)O)_(4)(NH_(3))_(2)]^(3+)`
    C
    `[Cr(H_(2)O)_(4)(C_(2)O_(4))]^(+)`
    D
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  • In which case van't Hoff factor is maximum ?

    A
    `KCl,50%"ionised"`
    B
    `K_(2)SO_(4),40%"ionised"`
    C
    `FeCI_(3),30%"ionised"`
    D
    `SnCI_(4),20%"ionised"`
  • Weight of a body is maximum at

    A
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    B
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    C
    centre of earth
    D
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